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Day 395: MHT-CET Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Mathematical Logic. Asked once: 10 May 2023 S2 (same type asked 14 times) See all 14 of this type

    150
    If (p∧∼r)→(∼p∨q)(p\wedge\sim r)\rightarrow(\sim p\vee q) has truth value False, then truth values of p, q, r are respectively.

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  2. Question 2

    Definite Integration. Asked once: 19 Apr 2025 S2 (same type asked 13 times) See all 13 of this type

    134
    The value of ∫−33sin⁡7xcos⁡16x dx\int_{- 3}^{3} \sin^{7}x\cos^{16}x\text{ }dx is

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  3. Question 3

    Trigonometric Functions. Asked once: 11 May 2023 S2 (same type asked 12 times) See all 12 of this type

    119
    The value of sin⁡(cos⁡−1(−13)−sin⁡−113)\sin\left(\cos^{-1}\left(-\frac{1}{\sqrt{3}}\right)-\sin^{-1}\frac{1}{\sqrt{3}}\right) is

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  4. Question 4

    Binomial Distribution. Asked once: 9 May 2024 S1 (same type asked 12 times) See all 12 of this type

    124
    In a Binomial distribution with n=4n=4, if 2P(X=3)=3P(X=2)2P(X=3)=3P(X=2), then the variance is

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  5. Question 5

    Linear Programming. Asked once: 11 May 2023 S1 (same type asked 12 times) See all 12 of this type

    104
    For the following shaded region, the linear constraints are

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